16639484400 has 1440 divisors, whose sum is σ = 79509911040. Its totient is φ = 3223756800.

The previous prime is 16639484347. The next prime is 16639484429. The reversal of 16639484400 is 448493661.

16639484400 is a `hidden beast` number, since 1 + 6 + 639 + 4 + 8 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 155509147 + ... + 155509253.

It is an arithmetic number, because the mean of its divisors is an integer number (55215216).

Almost surely, 2^16639484400 is an apocalyptic number.

16639484400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16639484400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39754955520).

16639484400 is an abundant number, since it is smaller than the sum of its proper divisors (62870426640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16639484400 is a wasteful number, since it uses less digits than its factorization.

16639484400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 16639484400 in words is "sixteen billion, six hundred thirty-nine million, four hundred eighty-four thousand, four hundred".